What is the Least Common Multiple of 60209 and 60229?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 60209 and 60229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60209 and 60229, than apply into the LCM equation.

GCF(60209,60229) = 1
LCM(60209,60229) = ( 60209 × 60229) / 1
LCM(60209,60229) = 3626327861 / 1
LCM(60209,60229) = 3626327861

Least Common Multiple (LCM) of 60209 and 60229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60209 and 60229. First we will calculate the prime factors of 60209 and 60229.

Prime Factorization of 60209

Prime Factorization of 60229

Now multiplying the highest exponent prime factors to calculate the LCM of 60209 and 60229.

LCM(60209,60229) = 60209¹ × 13¹ × 41¹ × 113¹
LCM(60209,60229) = 3626327861